Question

find the value of x, y and z in the following parallelograms ​


please solve it
step by step explanation

Answer 1

Angle 60degree is a linear pair so the angle is 120
Angle y is 120(opposite angles in a parallelogram are equal)
Angle y and z are adjacent so angle z is 60 degree
Angle z is opp to angle x so the inner angle is 60 x is a linear pair so angle x is 120degre
Therefore, angle x is 120
Y is 120
Z is 60

Answer 2

Step-by-step explanation:

The opposite angles of a parallelogram are congruent (equal).                       ∠A = ∠C; ∠D = ∠B.

All the angles of a parallelogram add up to 360°.                                             ∠A + ∠B + ∠C + ∠D = 360°.

A straight line is = 180°

180° - 60° = 120°

So Y is 120°

Angle Z is equal to its opposite angle. We know that the total angles of a parallelogram is 360°

• Angle Y plus its opposite angle.

       120° + 120° = 240°

• Subtract 240° from 360°

        360° - 240° = 120°

• Divide 120° into 2

        120 / 2 = 60°

• Angle Z is 60° same as its opposite angel.

Find angle x

• Straight line is 180°

       180° - 60° = 120°

• So x is 120°

Answer:

x = 120°

y = 120°

z = 60°

(Hope this help and hope you mark this answer as brainiest)